Stat 265 - Unit 4 Practice Problems - Mike Kowalski 21. A machine in a heavy-equipment factory produces steel rods of length Y, where Y is normally distributed with mean 6 feet and variance 0.25. The cost, C, of repairing a rod that is not exactly 6 feet in length is proportional to the square of the error and is given, in dollars to be C = 4(Y - 6). a. What is the probability that, for any randomly selected rod, the cost of repair will be less than $1? b. Suppose that, for some reason, you need a rod that has length greater than 6.25 feet. As the rods are produced you test them successively until you find one that is at least 6.25 feet in length. How many rods do you expect to test until you find one greater than 6.25 feet